7/26/2019 estsol12.pdf

1/2

302 = 15

9015 = 6

360612 = 5

94(88) = 144 2

h

t

m

(h + t) + (h+m) =t + m + 180 h= 90

AM=AN DM=BN AN=NC DM=MD AMNB NCDM 64

2

2

3.6H+4.2MH+M =

3.6(H+M)+.6MH+M = 3.6+

.6MH+M

.6MH+M =.4

.2M=.4H

r2 = (12 r)2 82 r= 103

a= 3 bc+cd =

(b+ c)d b, c d {1, 2, 4} d = 4

d= 1 d= 2

44 = 16

7/26/2019 estsol12.pdf

2/2

6 A B

C O OAB tan(6 ) = AB

6

AB = 2

3 OAC tan(26 ) = AC

6 AC = 6

3

AC= 6

323

m m1

m 8 30 (m 1)> 23